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Finding the Fourth Proportional to 655.90, 983.94 and 223.09

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Solution

The fourth proportional to 655.90, 983.94 and 223.09 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.90 : 983.94 = 223.09 : x
  2. Step 2: Convert to fraction form
    655.90/983.94 = 223.09/x
  3. Step 3: Cross multiply
    655.90x = 983.94 × 223.09
  4. Step 4: Simplify right side
    655.90x = 219,501.14
  5. Step 5: Solve for x
    x = 219,501.14/655.90
  6. Step 6: Final answer
    x = 334.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.